Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6
Answer:
There is enough evidence to claim that population mean 1 is less than population 2 at the 0.05 significance level.
Step-by-step explanation:
We are given the following in the question:
Group 1:

Group 2:

Alpha, α = 0.05
First, we design the null and the alternate hypothesis
Since, the population variances are equal and that the two populations are normally distributed, we use t-test(pooled test) for difference of two means.
Formula:
Pooled standard deviation



Putting all the values we get:



Now,

Since,

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.
We conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2.
There is enough evidence to claim that population mean 1 is less than population 2 at the 0.05 significance level.
Answer:
-2
Step-by-step explanation:
The formula to find the slope of two points is
. Now, we plug in the values of (8,-6) and (11,-12) and simplify.
Therefore, the slope is -2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
<u>13 Quarters and 18 Dimes</u>
Step-by-step explanation:
Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). Give x and y a break, and make it easier to remember which is which.
D + Q = 31
D = Q + 5
Therefore:
D + Q = 31
(Q+5) + Q = 31
2Q + 5 = 31
2Q = 26
<u>Q = 13</u>
<u>Then D = (13+5) or 18</u>
================
Check:
D + Q = 31 ?
18 + 13 = 31 <u>YES</u>
----------------------
D = Q + 5 ?
18 = 13 + 5 <u>YES</u>